Quantum simulation of dissipative processes without reservoir engineering
Abstract
We present a quantum algorithm to simulate general finite dimensional Lindblad master equations without the requirement of engineering the system-environment interactions. The proposed method is able to simulate both Markovian and non-Markovian quantum dynamics. It consists in the quantum computation of the dissipative corrections to the unitary evolution of the system of interest, via the reconstruction of the response functions associated with the Lindblad operators. Our approach is equally applicable to dynamics generated by effectively non-Hermitian Hamiltonians. We confirm the quality of our method providing specific error bounds that quantify its accuracy.
- Authors:
-
- Univ. of the Basque Country, Bilbao (Spain)
- Univ. of Massachusetts, Boston, MA (United States); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Univ. of the Basque Country, Bilbao (Spain); Basque Foundation for Science, Bilbao (Spain)
- Univ. of the Basque Country, Bilbao (Spain); Univ. Ulm, Ulm (Germany)
- Publication Date:
- Research Org.:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1212705
- Grant/Contract Number:
- AC52-06NA25396
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Scientific Reports
- Additional Journal Information:
- Journal Volume: 5; Journal ID: ISSN 2045-2322
- Publisher:
- Nature Publishing Group
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 97 MATHEMATICS AND COMPUTING; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Citation Formats
Di Candia, R., Pedernales, J. S., del Campo, A., Solano, E., and Casanova, J. Quantum simulation of dissipative processes without reservoir engineering. United States: N. p., 2015.
Web. doi:10.1038/srep09981.
Di Candia, R., Pedernales, J. S., del Campo, A., Solano, E., & Casanova, J. Quantum simulation of dissipative processes without reservoir engineering. United States. https://doi.org/10.1038/srep09981
Di Candia, R., Pedernales, J. S., del Campo, A., Solano, E., and Casanova, J. Fri .
"Quantum simulation of dissipative processes without reservoir engineering". United States. https://doi.org/10.1038/srep09981. https://www.osti.gov/servlets/purl/1212705.
@article{osti_1212705,
title = {Quantum simulation of dissipative processes without reservoir engineering},
author = {Di Candia, R. and Pedernales, J. S. and del Campo, A. and Solano, E. and Casanova, J.},
abstractNote = {We present a quantum algorithm to simulate general finite dimensional Lindblad master equations without the requirement of engineering the system-environment interactions. The proposed method is able to simulate both Markovian and non-Markovian quantum dynamics. It consists in the quantum computation of the dissipative corrections to the unitary evolution of the system of interest, via the reconstruction of the response functions associated with the Lindblad operators. Our approach is equally applicable to dynamics generated by effectively non-Hermitian Hamiltonians. We confirm the quality of our method providing specific error bounds that quantify its accuracy.},
doi = {10.1038/srep09981},
journal = {Scientific Reports},
number = ,
volume = 5,
place = {United States},
year = {Fri May 29 00:00:00 EDT 2015},
month = {Fri May 29 00:00:00 EDT 2015}
}
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